The general inversion pair and its applications

DOI10.1216/rmj.2023.53.1245zbMath1529.05011OpenAlexW4386273742MaRDI QIDQ6184974

Rajesh V. Savalia

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-4/THE-GENERAL-INVERSION-PAIR-AND-ITS-APPLICATIONS/10.1216/rmj.2023.53.1245.full

zbMATH Keywords

Bessel functionHumbert polynomialsWilson polynomialsRacah polynomialsRiordan's inverse series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series
• Inverse series relations and other expansions involving Humbert polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Some Hypergeometric Orthogonal Polynomials
• q,k-Generalized Gamma and Beta Functions
• A new matrix inverse
• Special Function Inverse Series Pairs
• p-Deformation of a General Class of Polynomials and its Properties
• Quantum Symmetric Functions
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